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Question
In the given figure, AC = CE and AB||ED. The value of x is
In the given figure, AC = CE and AB||ED. The value of x is
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Solution
The correct option is B 15
In Δ ABC and Δ EDC
AC = CE .... (Given)
∠BAC=∠DEC.... (Alternate angles)
∠ACB=∠ECD .... (Vertically opposite angles)
∴ΔABC≅ΔEDC .... (ASA congruence criteria)
⇒AB=DE ..... (Sides of congruent triangles)
⇒x+10=2x−5
⇒x=15units
In Δ ABC and Δ EDC
AC = CE .... (Given)
∠BAC=∠DEC.... (Alternate angles)
∠ACB=∠ECD .... (Vertically opposite angles)
∴ΔABC≅ΔEDC .... (ASA congruence criteria)
⇒AB=DE ..... (Sides of congruent triangles)
⇒x+10=2x−5
⇒x=15units
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